Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89056g |
Isogeny class |
Conductor |
89056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2792094422943232 = -1 · 29 · 117 · 234 |
Discriminant |
Eigenvalues |
2+ 0 2 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7139,-2552858] |
[a1,a2,a3,a4,a6] |
Generators |
[3385059:73274918:6859] |
Generators of the group modulo torsion |
j |
-44361864/3078251 |
j-invariant |
L |
7.3634521954882 |
L(r)(E,1)/r! |
Ω |
0.19971123278657 |
Real period |
R |
9.2176239769023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89056d2 8096d4 |
Quadratic twists by: -4 -11 |